Consider the following sequence of reactions.
$1$-methylindene $\xrightarrow[NaHSO_3]{OsO_4} A$ $\xrightarrow[2. NaOH, \text{heat}]{1. HIO_4} B$
The final product $(B)$ is

In the following compounds,the ones that give positive iodoform test are:
$(I)$ $CH_3CH_2COCH_2CH_3$
$(II)$ $CH_3CH(OH)CH_3$
$(III)$ $1$-indanone
$(IV)$ $CH_3CH_2COCH_3$
$(V)$ $PhCOPh$
$(VI)$ $PhCOCH_3$

Two compounds $A$ and $B$ with the same molecular formula $(C_{3}H_{6}O)$ undergo Grignard's reaction with methylmagnesium bromide to give products $C$ and $D$. Products $C$ and $D$ show the following chemical tests.

Test	$C$	$D$
Ceric ammonium nitrate Test	Positive	Positive
Lucas Test	Turbidity obtained after five minutes	Turbidity obtained immediately
Iodoform Test	Positive	Negative

$C$ and $D$ respectively are:

Schiff's reagent gives pink colour with

What is the product of the following reaction?

Reaction: $CH_3-CO-CH_2-CH_2-CH_2-CH_2-CHO \xrightarrow{HO^{-}/\Delta} \underset{(73\%)}{(A)}$
Product $(A)$ is